8,964,032

2⁶ × 7 × 11 × 17 × 107

8,964,032 factors as 2^6 × 7 × 11 × 17 × 107. Its 112 positive divisors give a proper-divisor sum of 14,737,216, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 11 × 17 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 23,701,248

Proper Divisor Sum 14,737,216

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8964031 ← → #8964079

Radix Representation

Decimal	8964032
Binary	100010001100011111000000 (24 bits)
Octal	0o42143700
Hexadecimal	0x88C7C0

Divisor Catalog (60 of 112)

1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 64 68 77 88 107 112 119 136 154 176 187 214 224 238 272 308 352 374 428 448 476 544 616 704 748 749 856 952 1,088 1,177 1,232 1,309 1,496 1,498 1,712 1,819 1,904 2,354 2,464 2,618 2,992 2,996 3,424 3,638 3,808

Collatz Trajectory (119 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,964,032 4,482,016 2,241,008 1,120,504 560,252 280,126 140,063 420,190 210,095 630,286 315,143 945,430 472,715 1,418,146 709,073 2,127,220 1,063,610 531,805 1,595,416 797,708 398,854 199,427 598,282 299,141 897,424 448,712 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152

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